Least Common Multiple of 408/723, 8736/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/723, 8736/210 quickly i.e. 49504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/723, 8736/210 is 49504.

LCM(408/723, 8736/210) = 49504

LCM of 408/723, 8736/210

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 408/723,8736/210

Given numbers are 408/723,8736/210

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 408,8736

Least Common Multiple of Numerators i.e. LCM of 408,8736 is 148512.

GCF of Denominators means GCF of 723,210 as per the given fractions.

GCF of 723,210 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,8736

LCM of Fractions 408/723,8736/210 is 49504

2 408, 8736
2 204, 4368
2 102, 2184
3 51, 1092
17, 364

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 364 = 148512

Least Common Multiple of 408,8736 with GCF Formula

Least Common Multiple of 408,8736 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 408,8736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,8736) = 24

common factors(in case of two or more numbers have common factors) = 1

GCF(408,8736) x common factors =24 x 1 = 24

LCM(408,8736) = ( 408 × 8736 ) / 24

LCM(408,8736) = 3564288 / 24

LCM(408,8736) = 148512


Lets's calculate GCF of 723,210

3 723, 210
241, 70

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148512/3

Therefore the LCM of Fractions 408/723,8736/210 is 49504

Greatest Common Factor of 723,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,210 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 723,210 . The biggest common factor number is the GCF number.
So the greatest common factor 723,210 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 408/723, 8736/210

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 408/723, 8736/210?

Answer: LCM of Numerators as per given numbers 408/723, 8736/210 is

LCM of Numerators i.e. for 408,8736 is 148512

GCF of denominators i.e. for 723,210 is 3.

Thus, LCM of Fractions is 49504.Finally, LCM of Fractions for 408/723, 8736/210 is 49504.